Reductive Algebras Containing a Direct Sum of the Unilateral Shift and a Certain other Operator are Selfadjoint

DOI10.2307/2044762zbMath0584.47046OpenAlexW4251716350MaRDI QIDQ3709366

Mohamad A. Ansari

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044762

zbMATH Keywords

von Neumann algebradirect sum of a unilateral shift of finite multiplicity and a finite-dimensional completely nonunitary contractionreductive algebra problem

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators in (C^*)- or von Neumann algebras (47C15) Linear operators in ({}^*)-algebras (47C10) Linear operators in algebras (47C05)

Related Items (3)

Transitive algebras and reductive algebras on reproducing analytic Hilbert spaces ⋮ Invariant subspaces of operator algebras ⋮ Perturbations of the Unilateral Shift and Transitive Operator Algebras

Cites Work

• Algebras containing unilateral shifts or finite-rank operators
• Some Tractable Non-Self-Adjoint Operator Algebras
• On Reductive Algebras Containing Compact Operators
• A Sufficient Condition that an Operator Algebra be Self-Adjoint
• Compact Operators in Reductive Algebras
• Unnamed Item

This page was built for publication: Reductive Algebras Containing a Direct Sum of the Unilateral Shift and a Certain other Operator are Selfadjoint